We explain how a localised Einstein-Hilbert term emerges from string theory, and that localisation only happens in four dimensions. For that we will review some of the geometrical aspects of the eight-derivative corrections to the 10d effective action of type II strings, and discuss their relations with the Planck mass in renormalisation in lower dimensions. We will present the difference between type I string where localisation cannot be achieved and type II strings where localisation occurs. We will explain that because only 'twisted' states, responsible for the localisation, contribute to the Planck mass corrections, the mechanism applies as well for compact or non-compact extra dimensions. In the course of the talk we will comment about the relations to some phenomenological models for induced gravity.